Evaluating and composing functions written as f(x), interpreting what f(a) = b means, and translating between notation, tables, and graphs.
30
Total questions
15
Easy
7
Medium
8
Hard
These questions strip functions down to the notation itself: given f(x) = 3x − 7, find f(4); given a table, find f(g(2)); or interpret a statement like f(20) = 12 in a real context. They're among the most learnable questions on the entire Math section.
Read f(input) = output every single time. For composition, work inside-out: evaluate the inner function first, then feed the result to the outer one. For interpretation questions, restate in words — f(20) = 12 means "when the input is 20 units, the output is 12 units" — then match to the choice that says exactly that.
Straight from the Grind1600 question bank — try each one before revealing the answer.
Correct answer: B
Substitute x = 5 into g(x) = x² - 3: g(5) = (5)² - 3 = 25 - 3 = 22.
Correct answer: 5
Set f(k) = 10: k² - 3k = 10. Rearranging: k² - 3k - 10 = 0. Factor: (k - 5)(k + 2) = 0. So k = 5 or k = -2. Since k > 0, k = 5.
Equivalent Expressions
Rewriting algebraic expressions — factoring, expanding, combining rational expressions, and applying exponent rules to show two forms are equivalent.
Nonlinear Equations & Systems
Solving quadratic, radical, rational, and exponential equations, plus systems that mix a line with a curve — including discriminant reasoning.
Nonlinear Functions
Quadratic, exponential, and polynomial functions: vertex form, growth and decay, end behavior, and interpreting key features in context.
30 Function Notation questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.
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